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arXiv · 2403.03034

Global dissipative martingale solutions to the variational wave equation with stochastic forcing

Billel Guelmame·Julien Vovelle
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Abstract

We consider the variational wave equation in one-dimensional space with stochastic forcing by an additive noise. Blow-up of local smooth solutions is established, and global existence is proved in the class of weak martingale solutions.

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Billel Guelmame, Julien Vovelle. 2024-09-27. Global dissipative martingale solutions to the variational wave equation with stochastic forcing. https://arxiv.org/abs/2403.03034

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